Word Problem (in the description)

Question

Question:

Professor Latte drove from Baltimore to DC at a speed of 50 mph. On the way back, she drove at 60 mph. The total trip took 1 7/15 hours of driving time. Find the distance between these two cities.

 

 

A detailed step by step solution would be great.

Thanks.

Answer 1

Total time driving is 22/15 hours. Let variable t = time outbound, at 50 mi/hr; then (22/15 - t) is time of inbound trip, at 60 mi/hr.

 

Each distance = rate • time, and the distances are equal, so we have D =

50(t) = 60 (22/15 - t).

 

Solve for t!  Then distance D = 50 t.